We consider the Gauss–Bonnet gravity in the presence of a new class of nonlinear electromagnetic field,
namely, power Maxwell invariant. By use of a suitable transformation, we obtain a class of real rotating
solutions with k rotation parameters and investigate some properties of the solutions such as existence
of singularity(ies) and asymptotic behavior of them. Also, we calculate the finite action, thermodynamic
and conserved quantities of the solutions and using the Smarr-type formula to check the first law of
thermodynamics.